Speed - Person in Train - Solve for Person Speed (Level 1)

This math topic focuses on calculating the speed of a person walking from the back to the front of a moving train, relative to the ground. It involves principles from the areas of speed, distance, and time. The problems require understanding and application of relative velocity, especially considering the constant speeds of the trains and the distances they travel. Each question presents different train speeds, train lengths, and distances traveled, prompting learners to solve for the person’s speed relative to the ground under various scenarios.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Speed - Person in Train - Solve for Person Speed Worksheet

Math worksheet on 'Speed - Person in Train - Solve for Person Speed (Level 1)'. Part of a broader unit on 'Speed, Distance, and Time Logic Challenges - Intro' Learn online: app.mobius.academy/math/units/speed_distance_time_logic_intro/

1

A person on a 60 m long train that is going 6 m/s walks from the back to the front while the train goes 60 m. What is the person's speed relative to the ground?

a

8 m/s

b

17 m/s

c

12 m/s

d

37 m/s

2

A person on a 60 m long train that is going 3 m/s walks from the back to the front while the train goes 90 m. What is the person's speed relative to the ground?

a

5 m/s

b

30 m/s

c

20 m/s

d

15 m/s

3

A person on a 60 m long train that is going 6 m/s walks from the back to the front while the train goes 180 m. What is the person's speed relative to the ground?

a

8 m/s

b

5 m/s

c

28 m/s

d

12 m/s

4

A person on a 40 m long train that is going 5 m/s walks from the back to the front while the train goes 100 m. What is the person's speed relative to the ground?

a

17 m/s

b

18 m/s

c

13 m/s

d

7 m/s

5

A person on a 60 m long train that is going 3 m/s walks from the back to the front while the train goes 30 m. What is the person's speed relative to the ground?

a

24 m/s

b

14 m/s

c

5 m/s

d

9 m/s

6

A person on a 50 m long train that is going 4 m/s walks from the back to the front while the train goes 40 m. What is the person's speed relative to the ground?

a

5 m/s

b

9 m/s

c

6 m/s

d

34 m/s

7

A person on a 40 m long train that is going 4 m/s walks from the back to the front while the train goes 80 m. What is the person's speed relative to the ground?

a

6 m/s

b

16 m/s

c

14 m/s

d

19 m/s